Solve the problem.
-The formula P $P = 14.7 e ^ { - 0.21 x }$ gives the average atmospheric pressure, P, in pounds per square inch, at an altitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles. Round
Your answer to the nearest tenth.
A) $7.8 \mathrm { lb } / \mathrm { in } ^ { 2 }$
B) $9.1 \mathrm { lb } / \mathrm { in } ^ { 2 }$
C) $8.4 \mathrm { lb } / \mathrm { in } ^ { 2 }$
D) $11.0 \mathrm { lb } /$ in. $^ { 2 }$

Question

Solve the problem.
-The formula P $P = 14.7 e ^ { - 0.21 x }$ gives the average atmospheric pressure, P, in pounds per square inch, at an altitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles. Round
Your answer to the nearest tenth. 
A) $7.8 \mathrm { lb } / \mathrm { in } ^ { 2 }$
B) $9.1 \mathrm { lb } / \mathrm { in } ^ { 2 }$
C) $8.4 \mathrm { lb } / \mathrm { in } ^ { 2 }$
D) $11.0 \mathrm { lb } /$ in. $^ { 2 }$

Quizplus · Accepted Answer

To find the average atmospheric pressure at an altitude of 2.3 miles, substitute $x = 2.3$ into the given formula: $P = 14.7 e^{-0.21 \times 2.3}$. Calculating this gives $P \approx 9.1 \, \mathrm{lb/in}^2$, rounding to the nearest tenth.

Solve the Problem P=14.7e−0.21xP = 14.7 e ^ { - 0.21 x }P=14.7e−0.21x

Solve the Problem $P = 14.7 e ^ { - 0.21 x }$